The Fibonacci Quarterly (original) (raw)

Volume 13	Number 1	February 1975

CONTENTS

Krishnaswami Alladi A Farey Sequence of Fibonacci Numbers	1

I. J. Good The Number of Orderings of n Candidates When Ties are Permitted	11

G. E. Bergum, W. J. Wagner, and V. E. Hoggatt, Jr. Chebeyshev Polynomials and Related Sequences	19

W. L. McDaniel and Peter Hagis, Jr. Some Results Concerning the Non-Existence of Odd Perfect Numbers of the Form pαM2β	25

Joseph J. Heed and Lucille Kelly An Interesting Sequence of Fibonacci Sequence Generators	29

Krishnaswami Alladi A Rapid Method to Form Farey Fibonacci Fractions	31

Jeffrey Shallit A Simple Proof that Phi is Irrational	32

Full text |Letter to the Editor

Brother Alfred Brousseau Symmetric Sequences	33

John W. Layman Some Interesting Necessary Conditions for (a-1)n+(b-1)n-(c-1)n=0	42

Herbert L. Holden Fibonacci Tiles	45

Hugo S. Sun Embedding a Semigroup in a Ring	50

Kenneth R. Rebman The Sequence: 1 5 16 45 121 320 -- In Combinatorics	51

Norman Woo Non-Basic Triples	56

Paul F. Byrd New Relations Between Fibonacci and Bernoulli Numbers	59

Sin Hitotumatu and Daihachiro Sato Star of David Theorem (I)	70

L. Carlitz and Richard Scoville Eulerian Numbers and Operators	71

James P. Jones Diophantine Representation of the Fibonacci Numbers	84

Edited by Raymond E. Whitney Advanced Problems and Solutions	89

Edited by A. P. Hillman Elementary Problems and Solutions	94